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一维奇异边值问题的对称有限元方法
Symmetric Finite Element Method for One- Dimentional Singular Boundary Value Problems
【摘要】 使用对称有限元方法,研究奇异两点边值问题有限元解的收敛性,给出几种最佳阶误差估计。
【Abstract】 y symmetric finite element method the convergence of the solutions for linear singular two-point boundary value problems is discussedare all positive,σ is a positive constant,f(x)is a given function and q(x)is a bounded nonnegative function on[0,1].Some optimal order error estimates are also obtained.
【关键词】 加权Sobolev空间;
奇异线性两点边值问题;
对称有限元;
L_∞模;
L_2模;
【Key words】 weighted sobolev space singular two-point boundary value problem symmetric finite element method L∞-norm L2-nerm;
【Key words】 weighted sobolev space singular two-point boundary value problem symmetric finite element method L∞-norm L2-nerm;
【基金】 国家自然科学基金
- 【文献出处】 内蒙古大学学报(自然科学版) ,ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NEIMONGOL , 编辑部邮箱 ,1995年04期
- 【分类号】O241.8
- 【被引频次】5
- 【下载频次】36